3968844 has 48 divisors (see below), whose sum is σ = 10233216. Its totient is φ = 1187200.

The previous prime is 3968827. The next prime is 3968863. The reversal of 3968844 is 4488693.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3968796 and 3968805.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13984 + ... + 14264.

It is an arithmetic number, because the mean of its divisors is an integer number (213192).

Almost surely, 2^3968844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3968844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5116608).

3968844 is an abundant number, since it is smaller than the sum of its proper divisors (6264372).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3968844 is a wasteful number, since it uses less digits than its factorization.

3968844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 404 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 3968844 is about 1992.1957735122. The cubic root of 3968844 is about 158.3268882572.

The spelling of 3968844 in words is "three million, nine hundred sixty-eight thousand, eight hundred forty-four".